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Agnes, Betty and Cathy have 220 stamps altogether. Agnes has 3 times as many stamps as Betty. Cathy has 40 more stamps than Betty. How many stamps does Betty have? (Draw models to help you.)

Agnes, Betty and Cathy have 220220 stamps altogether. Agnes has 33 times as many stamps as Betty. Cathy has 4040 more stamps than Betty. How many stamps does Betty have?\newline(Draw models to help you.)

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Q. Agnes, Betty and Cathy have 220220 stamps altogether. Agnes has 33 times as many stamps as Betty. Cathy has 4040 more stamps than Betty. How many stamps does Betty have?\newline(Draw models to help you.)
  1. Define Stamps for Betty: Let's call the number of stamps Betty has BB. Agnes has 33 times as many stamps as Betty, so Agnes has 3B3B stamps. Cathy has 4040 more stamps than Betty, so Cathy has B+40B + 40 stamps. The total number of stamps is 220220. So, the equation is B+3B+(B+40)=220B + 3B + (B + 40) = 220.
  2. Calculate Stamps for Agnes: Now, let's add up the B's.\newlineB+3B+B=5BB + 3B + B = 5B.\newlineSo, 5B+40=2205B + 40 = 220.
  3. Calculate Stamps for Cathy: Next, we subtract 4040 from both sides to solve for 5B5B.\newline5B=220−40.5B = 220 - 40.\newline5B=180.5B = 180.
  4. Formulate Total Stamps Equation: Now, we divide both sides by 55 to find BB.B=1805B = \frac{180}{5}.B=36B = 36.

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